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Chapters/chapter2.tex
@@ -583,7 +583,8 @@ \subsection{Projections and Unit Vectors}
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compute $s$, we use the fact that the vector ${\rm proj}_\bb\aa - \aa$
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(along the dotted line in the diagram) is orthogonal to $\bb$. Thus
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$({\rm proj}_\bb\aa - \aa)\cdot\bb = 0$, or $(s\bb-\aa)\cdot\bb=0$, or
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-$s = \aa\cdot\bb / \bb\cdot\bb = \aa\cdot\bb / \|\bb\|^2$. Thus
+$(s\bb)\cdot\bb-\aa\cdot\bb=0$, or $s(\bb\cdot\bb)=\aa\cdot\bb=$, or
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+$s = (\aa\cdot\bb) / (\bb\cdot\bb) = (\aa\cdot\bb) / \|\bb\|^2$. Thus
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\begin{equation}
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\label{eq:projection}
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{\rm proj}_\bb\aa = {{\aa\cdot\bb}\over{\|\bb\|^2}}\bb.
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